考虑拉压不同模量压力隧洞应力和位移弹性解1)

ELASTIC SOLUTIONS OF PRESSURE TUNNEL WITH DIFFERENT MODULI IN TENSION AND COMPRESSION1)

  • 摘要: 岩石拉压弹性常数并不相同。基于拉压不同模量理论,考虑衬砌和围岩模量差异性,推导了压力隧洞的应力、位移新解及围岩弹性抗力表达式,并分析了模量差异对压力隧洞力学行为的影响。结果表明,新解可退化为经典解答;径向应力新解大于经典解,而切向应力则反之,位移经典解小于新解;围岩弹性抗力系数随压拉模量比增大呈抛物线变化。衬砌和围岩模量差异性对压力隧洞应力和位移均会产生影响,若采用经典解答进行设计会引起一定误差。

     

    Abstract: The elastic constants of rock in compression and tension are different. Considering the difference of modulus including lining and surrounding rock, new solutions of stress and displacement of pressure tunnel were derived based on the bi-modulus theory, and a new expression of elastic resistance was obtained. Based on the theoretical solution, the influence of modulus difference on the mechanical behavior of pressure tunnel was analyzed in detail. The results show that the new solution can be degenerated into the classical solution. The radial stress from the new solution is always larger than that form the classical solution, while the tangential stress from the new solution is smaller than that from the classical solution. The tunnel displacement from the new solution is larger than that from the classical solution. The elastic resistance coefficient of surrounding rock changes parabolically with the increase of modulus ratio between compression and tension. The modulus difference of lining and surrounding rock affects the stress and displacement of pressure tunnel. If the classical solution is used in engineering design, it will inevitably lead to a certain error.

     

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